Check sibling questions

Ex 3.2, 12 - Given 3 [x y z w] = [x 6 -1 2w] + [4 x+y z+w 3]

Ex 3.2, 12 - Chapter 3 Class 12 Matrices - Part 2
Ex 3.2, 12 - Chapter 3 Class 12 Matrices - Part 3 Ex 3.2, 12 - Chapter 3 Class 12 Matrices - Part 4

Get live Maths 1-on-1 Classs - Class 6 to 12


Transcript

Ex 3.2, 12 Given 3[■8(x&[email protected]&w)] = [■8(x&[email protected]−1&2w)] + [■8(4&[email protected]+w&3)] find the values of x, y, z and w. 3[■8(x&[email protected]&w)] = [■8(x&[email protected]−1&2w)] + [■8(4&[email protected]+w&3)] [■8(3x&[email protected]&3w)] = [■8(x+4&[email protected]−z+w&2w+3)] Since matrices are equal. Corresponding elements are equal 3x = x + 4 3y = 6 + x + y 3z = 1 – z + w 3w = 2w + 3 …(1) …(2) Solving equation (1) 3x = x + 4 3x – x = 4 2x = 4 x = 4/2 x = 2 Solving equation (2) 3y = 6 + x + y 3y – y = 6 + x 2y = 6 + x Putting x = 2 2y = 6 + 2 2y = 8 y = 8/2 y = 4 Solving equation (4) 3w = 2w + 3 3w – 2w = 3 w = 3 Solving equation (3) 3z = – 1 + z + w 3z – z = – 1 + w 2z = – 1 + w Putting w = 3 2z = – 1 + 3 2z = 2 z = 2/2 z = 1 Hence, x = 2, y = 4 , w = 3 & z = 1

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.